2 citations · 4 across the 6 of their papers we have counts for
6 papers
Hilbert series of modules of GK-dimension two over elliptic algebras
Koen De Naeghel
We characterize the Hilbert functions and minimal resolutions of (critical) Cohen-Macaulay graded right modules of Gelfand-Kirillov dimension two over generic quadratic and cubic t…
Ideals of cubic algebras and an invariant ring of the Weyl algebra
K. De Naeghel, N. Marconnet
We classify reflexive graded right ideals, up to isomorphism and shift, of generic cubic three dimensional Artin-Schelter regular algebras. We also determine the possible Hilbert f…
An inequality on broken chessboards
K. De Naeghel, N. Marconnet
For any partition of a positive integer we consider the chess (or draughts) colouring of its associated Ferrers graph. Let b denote the total number of black unit squares, and w th…
On incidence between strata of the Hilbert scheme of points on P^2
K. De Naeghel, M. Van den Bergh
The Hilbert scheme of n points in the projective plane has a natural stratification obtained from the associated Hilbert series. In general, the precise inclusion relation between…
Ideal classes of three dimensional Artin-Schelter regular algebras
K. De Naeghel, M. Van den Bergh
We determine the possible Hilbert functions of graded rank one torsion free modules over three dimensional Artin-Schelter regular algebras. It turns out that, as in the commutative…
Ideal classes of three dimensional Sklyanin algebras
K. De Naeghel, M. Van den Bergh
In this paper we classify graded reflexive ideals, up to isomorphism and shift, in certain three dimensional Artin-Schelter regular algebras. This classification is similar to the…